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Equation of a Straight Line

In terms of [latex]x[/latex] and [latex]y[/latex], what does it mean to have [latex]0[/latex] smokers? Since y represents the number of smokers and [latex]x[/latex] represent the year, we are being asked when [latex]y[/latex] will be [latex]0[/latex]. Use the equation for the number of high school smokers per [latex]100[/latex] to predict the year when there will be [latex]0[/latex] smokers per [latex]100[/latex]. This means that in [latex]1950[/latex] the value of a house in Mississippi was [latex]$25,200[/latex]. This page titled Interpreting the y-intercept of a Line is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Larry Green.

To identify the issues, allow everyone affected to share what they think is the problem. One of the most iconic Day of the Dead symbols, La Calavera Catrina, an elegant skull, was created by Satirical cartoonist José Guadalupe Posada in 1910. The illustration depicted a skeleton dressed in fashionable attire to mock the upper class of that time. Colorful altars, dressing in traditional Mexican formal wear,  sugar skull face painting or masks are creating reports overview 2020 some of the most distinguishable displays of reverence for the Día de los Muertos traditions. Day of the Dead has gone through transitions of how it’s celebrated and honored since the time of the Aztec people, but one key element has stayed the same. The altar should also be unique to the person whose soul you are interested in reconnecting with, so adding a few personal touches like their favorite snacks, toys, or belongings can’t hurt.

  • For this example, \(x\) represents the ounces of meat consumed each day.
  • With the Unicode version, using search engines and copy-pasting are easier.
  • Graphs show the relationship between two variables and are often seen in newspapers and the media.
  • Further, this graph can also be presented for this equation of the line in other quadrants also.

The y-intercept of a line is the value of \(y\) where the line crosses the y-axis. In other words, it is the value of \(y\) when the value of \(x\) is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless. List of all mathematical symbols and signs – meaning and examples.

The slope of a line is a value that describes the rate of change between the independent and dependent variables. The slope tells us how the dependent variable (y) changes for every one unit increase in the independent (x) variable, on average. The y-intercept is used to describe the dependent variable when the independent variable equals zero. Graphically, the slope is represented by three line types in elementary statistics. Another useful outcome we gain from writing equations from data is the ability to make predictions about what may happen in the future.

Mexico City, for example, celebrates Day of the Dead throughout the month of October, allowing people to add or change up their altars over the course of the month. Despite the origins of the holiday being rooted in Mexico, the tradition of honoring a loved one who has since passed has been embraced by people from all walks of life. Tradition tells us that in late October the souls of our loved ones are making their way back to come and celebrate with us, Angie Jimenez, Director of the Altar Program at Hollywood Forever Cemetery in Los Angeles shared with USA Today. The following graphs illustrate the probability mass functions of 6 of the key distributions mentioned above. The following are some of the most notable operators related to probability and random variables. The above graph has been shown with the positive values of m and c, and in the first quadrant.

So, for finding how to type a symbol in LaTeX, it suffices to look at the source of the article. In probability and statistics, operators denote mathematical operations which are used to better make sense of data and chances. These include key combinatorial operators, probability-related operators/functions, probability distributions and statistical operators. Get the master summary of mathematical symbols in eBook form — along with each symbol’s usage and LaTeX code. Interpret the [latex]y[/latex]-intercept of the equation that represents the change in the number of high school students who smoke out of [latex]100[/latex]. The y-intercept of a two-variable linear equation can be found by substituting [latex]0[/latex] in for [latex]x[/latex].

Knowing this we can work out the equation of a straight line:

We will continue our analysis of the house price and high school smokers. In the following examples you will be shown how to predict future outcomes based on the linear equations that model current behavior. Earlier in this module, we learned how to write the equation of a line given the slope and [latex]y[/latex]-intercept.

Although it might sound very dark or morbid, it’s a statement on how death is just as beautiful as life. It’s going to happen; you just have to look at it in a different and more light-hearted manner. Once you’re gone, you might potentially be celebrated in this way,” Jimenez shared. It has become common to see people wearing La Catrina-inspired costumes or paint their faces to resemble the skeletal features of La Catrina, rocking elaborate dresses, suits, flower crowns, shawls or hats to form a complete look. Over the last century, La Catrina has been embraced as a symbol of Mexican culture and has come to represent the idea that death is an inherent part of life and should be celebrated, according to reporting by The Republic.

A line for which the slope in negative is said to move from left to right in a graph. The slope of a line is found by the ration of difference in y-coordinates to the difference in x-coordinates. If this value is negative for a line, then the line has a negative slope. In this section, the symbols that are listed are used as some sorts of punctuation marks in mathematical reasoning, or as abbreviations of natural language phrases. Some were used in classical logic for indicating the logical dependence between sentences written in plain language.

Graph of y = mx + c

The examples that follow show how to interpret the y-intercept of the equations used to model house value and the number of high school smokers. Additionally, you will see how to use the equations to make predictions about house value and the number of smokers in future years. A negative slope moves downward from left to right and a line with positive slope moves in the upward direction from right to left. The scatterplot and regression line below are from a study that collected data from a group of college students on the number of hours per week during the school year they work at a paid job and the number of units they are taking. Interpret the y-intercept of the regression line or explain why it has no practical meaning. Just like the slope of a line, many algebra classes go over the y-intercept of a line without explaining how to use it in the real world.

Probability-distribution-related Operators

The following table documents some of the most common notational symbols in probability and statistics — along with their respective usage and meaning. The last example we will show will include all of the concepts that we have been building up throughout this module. We will interpret a word problem, write a linear equation from it, graph the equation, interpret the [latex]y[/latex]-intercept and make a prediction. Hopefully this example will help you to make connections between the concepts we have presented.

Families, friends, or admirers of the deceased prepare altars, or ofrendas to welcome the person, people, or even pets they are honoring on Nov. 1 and Nov. 2, which coincides directly with Catholic holidays All Saint’s Day and All Soul’s Day. Probability and statistics both employ a wide range of Greek/Latin-based symbols as placeholders for varying objects and quantities. The following table documents the most common of these — along with each symbol’s usage and meaning. For readability purpose, these symbols are categorized by function into tables. Other comprehensive lists of math symbols — as categorized by subject and type — can be also found in the relevant pages below (or in the navigational panel).

Find the Y Intercept of the Graph Represented by the Equation x = y2+2 y-3.

For this example, \(x\) represents the ounces of meat consumed each day. The y intercept of a graph is the point where the graph intersects the y-axis. All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional. To efficiently solve problems, you should be objective rather than subjective. No matter if a problem is small like choosing what to eat or large like choosing your major in college, defining a problem accurately is the basis of solving it properly.

Glossary of mathematical symbols

The following video gives a thorough explanation of making a prediction given a linear equation. Use the equations for house value in Hawaii and Mississippi to predict house value in [latex]2035[/latex]. To work out the equation of a line from a graph, find the gradient and the \(y\)-intercept.

Writing an Equation in The Slope Intercept Form

When the birth weight in pounds is 0, the best prediction for the value of the number of days the newborn is predicted to stay in the hospital is 45 days. When the consumption of meat is 0, the best prediction for the value of the hours of sports each week is 1.3. First, note that the y-intercept is the number that is not in front of the \(x\). Next, the y-intercept is the value of \(y\) when \(x\) equals zero.

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